Wiener model

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Block diagram of a Wiener model, which consists of the series connection of a linear system and a static non-linearity

The Wiener model (after the American mathematician Norbert Wiener ) is a special type of model for nonlinear dynamic systems . The characteristic is the structure, consisting of the series connection of a linear time-invariant dynamic system and a static non-linearity. In the Hammerstein model , the same elements are arranged in a different order.

The Wiener model is defined for both single-variable and multi-variable systems .

The Wiener model is generally used in control engineering, for example in modeling , system identification and controller design.

For single-variable systems, the mathematical description is


in which

See also